1. Electric Circuit
- 1.1. Circuit Elements
- - 1.1.1. Active Circuit Elements
  - 1.1.2. Passive Circuit Elements
- 1.2. Ohms Law
- 1.3. Open Circuits
- 1.4. Short Circuits
2. Resistance
- 2.1. Resistance of Circular Wires
- 2.2. Temperature Effect on Resistance
- 2.3. Resistor
- 2.4. Color coding and Standard Resistor Values
- 2.5. Metric Units of Resistance
3. Series DC Circuits
- 3.1. Series Circuit
- 3.2. Circuit Instrumentation
- 3.3. Series Circuit Power Distribution
- 3.4. Series Voltage Sources
- 3.5. Kirchhoffs Voltage Law
- 3.6. Voltage Division in a Series Circuit
- 3.7. Interchanging Series Elements
- 3.8. Circuit Analysis Notation
- - 3.8.1. Single and Double Subscript Notation
- 3.9. Internal Resistance of Voltage Sources
- 3.10. Voltage Regulation
- 3.11. Loading Effects of Instruments
4. Parallel DC Circuits
- 4.1. Parallel Circuits
- 4.2. Power Distribution
- 4.3. Kirchhoffs Current law
- 4.4. Current Divider Rule
- 4.5. Voltage Sources in Parallel
- 4.6. Voltmeter Loading Effect
- 4.7. Troubleshooting Techniques
- 4.8. Parallel DC Circuits Applications
5. Series Parallel Circuits
- 5.1. Reduce and Return Approach
- 5.2. Block Diagram Approach
- 5.3. Ladder Networks
- 5.4. Voltage Divider Supply
- 5.5. Potentiometer Loading
- 5.6. Iron Vane Movement
6. Methods of Analysis
- 6.1. Current Sources
- 6.2. Branch Current Analysis
- 6.3. Mesh Analysis
- 6.4. Mesh Analysis with Current Sources
- 6.5. Nodal Analysis
- 6.6. Nodal Analysis with Voltage Sources
- 6.7. Bridge Networks
- 6.8. Star Delta Transformation
7. Network Theorems
- 7.1. Linearity Property
- 7.2. Superposition Theorem
- 7.3. Thevenins Theorem
- 7.4. Nortons Theorem
- 7.5. Maximum Power Transfer Theorem
- 7.6. Application of Maximum Power Transfer Method
- 7.7. Millmans Theorem
- 7.8. Substitution Theorem
- 7.9. Reciprocity Theorem
8. Capacitors
- 8.1. Capacitance
- 8.2. Types of capacitor
- 8.3. Initial Conditions of capacitor
- 8.4. Capacitor Charging Phase
- 8.5. Capacitor Discharging Phase
- 8.6. Instantaneous Values of Capacitor
- 8.7. Thevenin Equivalent Circuit of Capacitor
- 8.8. Current through capacitor
- 8.9. Capacitors in series and parallel
- 8.10. Energy Stored by a Capacitor
- 8.11. Stray Capacitance
9. Magnetic Circuits
- 9.1. Magnetic Flux Density
- 9.2. Permeability
- 9.3. Magnetic Reluctance
- 9.4. Ohms Law for Magnetic Circuits
- 9.5. Magnetizing Force
- 9.6. Hysteresis Curve
- 9.7. Domain Theory of Magnetism
- 9.8. Amperes Circuital Law
- 9.9. Series Magnetic Circuits
- 9.10. Magnetic Circuit Air Gaps
- 9.11. Series and Parallel Magnetic Circuits
- 9.12. Application of Magnetic circuits
10. Inductors
- 10.1. Faradays Law of Induction
- 10.2. Lenz law
- 10.3. Self Inductance
- 10.4. Types of Inductors
- 10.5. Inductor values
- 10.6. Induced Voltage
- 10.7. Transient Response of RL Circuit
- 10.8. Initial Values of an Inductor
- 10.9. Decay of Current in RL Circuit
- 10.10. Thevenin Equivalent Circuit of Inductor
- 10.11. Inductors in Series and Parallel
- 10.12. RL and RLC Circuits with DC Inputs
- 10.13. Energy Stored by an Inductor
- 10.14. Applications of inductor
11. Sinusoidal Alternating Waveforms
- 11.1. Sinusoidal AC Voltage Generation
- 11.2. Sinusoidal AC Waveform Definitions
- 11.3. The Sine Wave
- 11.4. General Format for the Sinusoidal Voltage or Current
- 11.5. Phase Relationship of a Sinusoidal Waveform
- 11.6. Average Value of Sinusoidal Waveform
- 11.7. Root Mean Square value of Sinusoidal waveform
- 11.8. AC meters and Instruments
12. Basic Elements of AC Circuit and Phasors
- 12.1. The Derivative of Sinusoidal Waveform
- 12.2. Response of Resistor to a Sinusoidal Voltage
- 12.3. Response of Inductor to a Sinusoidal Voltage
- 12.4. Response of Capacitor to a Sinusoidal Voltage
- 12.5. Frequency Effects on L and C in DC Circuits
- 12.6. Frequency Response of the Basic Elements
- 12.7. Average Power of Sinusoidal Voltage
- 12.8. AC Power Factor
- 12.9. Complex Numbers
- 12.10. Phasors
13. Series and Parallel ac Circuits
- 13.1. Impedance and the Phasor Diagram
- 13.2. AC Series Configuration
- 13.3. AC Voltage Divider Rule
- 13.4. Frequency Response of the RC Circuit
- 13.5. SUMMARY of Series AC Circuits
- 13.6. Admittance and Susceptance
- 13.7. Parallel ac Networks
- 13.8. Current Divider Rule of ac Circuits
- 13.9. Frequency Response of Parallel RL Network
- 13.10. Parallel ac Networks Summary
- 13.11. AC Equivalent Circuit
- 13.12. Phase Shift Measurement with Dual Trace Oscilloscope
- 13.13. Application of Series and Parallel ac Circuits
- - 13.13.1. Home Wiring
  - 13.13.2. Speaker Systems
14. Methods of Analysis of AC Network
- 14.1. Independent Versus Dependent Controlled Sources
- 14.2. Source Conversion of ac Circuits
- 14.3. Mesh Analysis for ac Circuits
- 14.4. Nodal Analysis for ac Circuits
- 14.5. AC Bridge Networks
- 14.6. Star Delta Transformation (AC)
15. Network Theorem (AC)
- 15.1. Superposition Theorem (ac)
- 15.2. Thevenins Theorem (ac)
- 15.3. Nortons Theorem (ac)
- 15.4. Maximum Power Transfer Theorem (ac)
16. Power (AC)
- 16.1. Resistive (AC) Circuit Power Calculation
- 16.2. Apparent Power
- 16.3. Reactive Power in Inductive Circuit
- 16.4. Reactive Power in Capacitive Circuit
- 16.5. The Power Triangle
- 16.6. The Total Apparent, Active and Reactive Power
- 16.7. Power Factor Correction
- 16.8. Wattmeters and Power Factor Meters
- 16.9. Effective Resistance
17. Resonance
- 17.1. Series Resonant Circuit
- 17.2. The Quality Factor (Q)
- 17.3. Total Impedance Versus Frequency
- 17.4. Selectivity of Frequency
- 17.5. Magnitudes of Voltages across RLC versus Frequency
- 17.6. Examples of Series Resonance Circuits
- 17.7. Parallel Resonant Circuit
- - 17.7.1. Resonace Frequency of a Parallel Resonant Circuit
- 17.8. Selectivity Curve for Parallel Resonant Circuits
- 17.9. Effect of Quality Factor greater than or Equal to 10
- 17.10. Examples of Parallel Resonance
- 17.11. Applications of Resonance Circuits
18. Transformer
- 18.1. Mutual Inductance
- 18.2. The Iron Core Transformer
- 18.3. Reflected Impedance and Power
- - 18.3.1. Transformer as a Impedance Matching
  - 18.3.2. Transformer as an Isolation Device
- 18.4. Iron Core Transformer Equivalent Circuit
- 18.5. Transformer Frequency Considerations
- 18.6. Series Connection of Mutually Coupled Coils
- 18.7. Air Core Transformer
- 18.8. Transformer Nameplate Data
- 18.9. Types of Transformers
- 18.10. Tapped and Multiple Load Transformers
- 18.11. Networks with Magnetically Coupled Coils
- 18.12. Applications of Transformer
- - 18.12.1. Transformer for Low Voltage Compensation
  - 18.12.2. Ballast Transformer
19. Polyphase Systems
- 19.1. The Three Phase Generator
- 19.2. The Y Connected Generator
- - 19.2.1. Phase Sequence (Y CONNECTED GENERATOR)
  - 19.2.2. Y connected Generator connected to a Y connected load
- 19.3. The Y Delta System
- 19.4. The Delta Connected Generator
- 19.5. The Delta Delta, Delta Y Three Phase Systems
- 19.6. Power Calculation of Y Connected Balanced Load
- 19.7. Power Calculation of Delta Connected Balanced Load
- 19.8. The Three Wattmeter Method
- 19.9. The Two Wattmeter Method
- 19.10. Unbalanced Three phase Four wire, Y Connected Load
- 19.11. Unbalanced, Three phase, Three wire, Y Connected Load
20. Frequency Response
- 20.1. Logarithm
- 20.2. Decibels
- 20.3. Transfer Function
- 20.4. Filters
- 20.5. Bode Plots
- - 20.5.1. High Pass RC Filter
  - 20.5.2. Low Pass RC Filter
- 20.6. Sketching the Bode Response
- 20.7. Low Pass Filter with Limited Attenuation
- 20.8. High Pass Filter with Limited Attenuation
- 20.9. Crossover Networks
- 20.10. Application of Filters
- - 20.10.1. Attenuators
  - 20.10.2. Noise Filters
21. Pulse Waveform and the RC Response
- 21.1. Ideal versus Actual Pulse Waveform
- 21.2. Properties of a Pulse Waveform
- 21.3. Pulse Repetition Rate and Duty Cycle
- 21.4. Average Value of a Pulse Waveform
- 21.5. Transient in RC Network
- 21.6. RC Response to Square Wave Inputs
- 21.7. Oscilloscope Attenuator
- 21.8. Compensating Attenuator Probe
- 21.9. Application of Pulse Waveform
22. The Laplace Transform
- 22.1. Properties of The Laplace Transform
- 22.2. List of the Properties of The Laplace Transform
- 22.3. Examples of The Laplace Transform
- 22.4. The Inverse Laplace Transform
- 22.5. Examples of The Inverse Laplace Transform
- 22.6. Circuit Application of The Laplace Transform
- 22.7. Transfer Function of The Laplace Transform
- 22.8. The Convolution Integral
- 22.9. Application to Integrodifferential Equations
- 22.10. Application of The Laplace Transform to the Network Stability
- 22.11. Application of The Laplace Transform to the Network Synthesis
23. The Fourier Series
- 23.1. Trigonometric Fourier Series
- 23.2. Symmetry Considerations of The Fourier Series
- 23.3. Common Functions of The Fourier Series
- 23.4. Circuit Application of The Fourier Series
- 23.5. Average Power and RMS Values of The Fourier Series
- 23.6. Exponential Fourier Series
- 23.7. Application of the Fourier Series to Spectrum Analyzers
- 23.8. Application of the Fourier Series to Filters
24. Fourier Transform
- 24.1. Properties of the Fourier Transform
- 24.2. Examples of the Fourier Transform
- 24.3. Examples of the Inverse Fourier Transform
- 24.4. Circuit Application of the Fourier Transform
- 24.5. Parsevals Theorem
- 24.6. Comparing the Fourier and Laplace Transform
- 24.7. Application of the Fourier Transform to the Amplitude Modulation
- 24.8. Application of the Fourier Transform to the Sampling
25. Two Port Networks
- 25.1. Impedance Parameters
- 25.2. Admittance Parameters
- 25.3. Hybrid Parameters
- 25.4. Transmission Parameters
- 25.5. Relationships between Parameters
- 25.6. Interconnection of Networks
- 25.7. Application of the Two Port Networks to the Transistor Circuits
- 25.8. Application of the Two Port Networks to the Ladder Network Synthesis
26. Nonsinusoidal Circuits
- 26.1. Circuit Response to a Nonsinusoidal Input
- 26.2. Addition and Subtraction of Nonsinusoidal Waveforms

Effect of Quality Factor greater than or Equal to 10

Electrical Circuit Analysis > Resonance

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The content of the previous section may suggest that the analysis of parallel resonant circuits is significantly more complex than encountered for series resonant circuits. Fortunately, however, this is not the case since, for the majority of parallel resonant circuits, the quality factor of the coil $Q_l$ is sufficiently large to permit a number of approximations that simplify the required analysis.

17.9.1. Inductive Reactance
17.9.2. Resonant Frequency (Unity Power Factor)
17.9.3. Parallel Resistance across Inductance
17.9.4. Total impedance at resonance
17.9.5. Quality Factor
17.9.6. Bandwidth (BW)
17.9.7. Current through Capacitor and Inductor

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